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If y = sin x[1/(sin x.sin 2x) + 1/(sin 2...

If `y = sin x[1/(sin x.sin 2x) + 1/(sin 2x .sin 3x) +...+ 1/(sin nx sin(n + 1)x)] ` then `(dy)/(dx)` =

A

`cotx - cot(n + 1)x`

B

`(n + 1)"cosec"^2(n + 1)x - "cosec"^2x`

C

`"cosec"^2 x- (n + 1)"cosec"^2(n + 1)x`

D

`cotx + "cot"(n + 1) x`

Text Solution

Verified by Experts

The correct Answer is:
C
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